A uniform plank of langth L is supported by two forces F1 and F2 at the distance of L/8 and L/4 from end. What is F1/F2?

Question

A heavy uniform plank of langth L is supported by two forces F1 and F2 at the distance of L/8 and L/4 from end?

What is the value of F1by F2

Answer 1

If we take the weight of the plank to be W which will be acting at the mid point of the plank we can continue by taking,
Moment at F1 = 0 ie.,
W*((l/2)-(l/8)) - F2*(5l/8) =0
F2 = W (3/5).
Similarly moment at F2 =0
W ((l/2)-(l/4)) - F1*(5l/8) = 0
F1 = W (2/5)
Therefore F1/F2 = 2/3.